A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is u = 1.75. Do the sample data indicate that coyotes In this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 1.75 yr; Hit u # 1.75 yr O Ho: H = 1.75 yr; H1: H 1.75 yr O Hoi H > 1.75 yr; H1: H = 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and a is unknown, O The Student's t, since the sample size is large and o is known. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100